11141040414101 has 8 divisors (see below), whose sum is σ = 12047827939224. Its totient is φ = 10241364948480.

The previous prime is 11141040414079. The next prime is 11141040414137. The reversal of 11141040414101 is 10141404014111.

11141040414101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2306294785201 + 8834745628900 = 1518649^2 + 2972330^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11141040414101 - 2¹⁰ = 11141040413077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141040414181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1778011616 + ... + 1778017881.

It is an arithmetic number, because the mean of its divisors is an integer number (1505978492403).

Almost surely, 2^{11141040414101} is an apocalyptic number.

It is an amenable number.

11141040414101 is a deficient number, since it is larger than the sum of its proper divisors (906787525123).

11141040414101 is a wasteful number, since it uses less digits than its factorization.

11141040414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556029751.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 11141040414101 its reverse (10141404014111), we get a palindrome (21282444428212).

The spelling of 11141040414101 in words is "eleven trillion, one hundred forty-one billion, forty million, four hundred fourteen thousand, one hundred one".